Greatest Common Factor of 7722/663, 9180/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7722/663, 9180/780

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7722/663,9180/780

Given fractions are 7722/663,9180/780

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7722,9180

Greatest Common Factor of Numerators i.e. GCF of 7722,9180 is 54 .

LCM of Denominators means LCM of 663,780 as per the given fractions.

LCM of 663,780 is 13260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7722,9180

GCF of Fractions 7722/663,9180/780 is 54/13260

2 7722, 9180
3 3861, 4590
3 1287, 1530
3 429, 510
143, 170

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54

Greatest Common Factor of 7722,9180 By Matching Biggest Common Factor Method

Greatest Common Factor of 7722,9180 By Matching Biggest Common Factor Method

Factors of 7722

List of positive integer factors of 7722 that divides 7722 without a remainder.

1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722

Factors of 9180

List of positive integer factors of 9180 that divides 9180 without a remainder.

1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180

Greatest Common Factor

We found the factors 7722,9180 . The biggest common factor number is the GCF number.
So the greatest common factor 7722,9180 is 54.

Lets's calculate LCM of 663,780

3 663, 780
13 221, 260
17, 20

∴ So the LCM of the given numbers is 3 x 13 x 17 x 20 = 13260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/13260

Therefore, the GCF of Fractions 7722/663,9180/780 is 54/13260

Least Common Multiple of 663,780 with GCF Formula

Least Common Multiple of 663,780 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 663,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,780) = 39

common factors(in case of two or more numbers have common factors) = 1

GCF(663,780) x common factors =39 x 1 = 39

LCM(663,780) = ( 663 × 780 ) / 39

LCM(663,780) = 517140 / 39

LCM(663,780) = 13260


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7722/663, 9180/780

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7722/663, 9180/780?

Answer: GCF of Numerators as per given numbers 7722/663, 9180/780 is

GCF of Numerators i.e. for 7722,9180 is 54

LCM of denominators i.e. for 663,780 is 13260.

Thus, GCF of Fractions is 54/13260.Finally, GCF of Fractions for 7722/663, 9180/780 is 54/13260.